The Ameraucanas that you purchase from a hatchery will most likely be EE's. The first EE's I got were from a local farm and I adored them. The ones I got from a local hatchery were so-so. I loved my Ameraucanas though. Just try to find a breeder near you if you can and if you want the breed that much. You can go to the Ameraucana thread and ask if there's a breeder near you.

I don't have any chickens anymore because I had to sell them all, but you can see the three white Ameraucanas I used to have in my avatar picture. I don't have any experience with Light Brahmas or Salmon Faverolles (I want these too!) but I'm sure someone will give you advice on them.

Also I wanted to add that two of those Ameraucanas were the friendliest birds I ever had. One was a rooster that I gave away but he was the best; he always sat on my lap and he loved his muffs petted. One of the other pullets was also very friendly. She loved her muffs petted and she would always croon if I petted her back. She never gave me any problems.

Easter Eggers are nice, although they really do vary in temperament, laying ability, etc. They are after-all not a breed. I have so many photos of so many different versions of Easter Eggers, so, I'll spare the space unless requested. I've had rumpless ones, tailed ones, bearded ones, clean-faced ones, tufted ones, feather-legged ones, crested ones, frizzled ones, colorful ones, common looking ones, etc.

Brahmas are really nice, but personally I think non-hatchery ones just rock! I have both hatchery and non-hatchery stock, both are extremely sweet, very docile and calm, and full of personality, but man does my non-hatchery girl TOWER over my hatchery girls!

3 yr old molting Hatchery Light Brahma hen on left, Blue Partridge pullet on right, only 7 months old and still growing.

As a final note - My Brahmas are friendlier than my EE's I've had, homemade versions or hatchery bought.

Of the breeds listed here, I only have the Faverolles, and they are from a hatchery. I've got two hens, and out of my 7 chickens (barred rocks, red sex link, australorp) they are by far the most friendly. They are the first to come flying at me and they want to snuggle. They both shove their entire heads in my arm (or.. armpit) and just doze off while I pet them.
They are by far the most docile of my chickens, which means that they are at the bottom of the totem pole. They don't try to stand up for themselves at all, and thus everyone picks on them and they KNOW they can pick on them.
I also experienced that as chicks they seemed a bit more fragile. I don't know if that is because they are hatchery stock or not! (probably)

Coho:

She's a little muddy here...

Here, too..

And this is Derperella. She's a bit special, but I think you already know that!

This is Clara my Lt Brahma, Lena is my avatar.
They are a month younger than my oldest hens, and bigger than they are. They are 20 weeks now, but not ready to lay yet.
I fell in love with their feathered feet.